Question

What is the slope of this line `4y+3x=-2`?

Answer 1

Slope equals `-3/4`

Explanation:

The slope intercept form is `y = mx + b`
Where m = the slope ( Think m for mountain slope.)

so solve the equation for y to find the value for m

`4y + 3x = -2to` Start by `-3x` from both sides.

`4y + 3x -3x = -3x -2` This gives

`4y = -3x -2to` divide both sides by `4`

`(cancel4y)/cancel4 = (-3x)/4 - cancel2/(cancel(4)2)` which gives

`y = -3/4x - 1/2`

`m = -3/4` so the slope is `-3/4`

A negative slope means the straight line of this equation is tilted downward from left to right; and this line also crosses the `y` coordinate at `y = -1/2`